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Finding the Fourth Proportional to 159,814.54, 220,626.97 and 116,745.67

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Solution

The fourth proportional to 159,814.54, 220,626.97 and 116,745.67 is: 161,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,814.54 : 220,626.97 = 116,745.67 : x
  2. Step 2: Convert to fraction form
    159,814.54/220,626.97 = 116,745.67/x
  3. Step 3: Cross multiply
    159,814.54x = 220,626.97 × 116,745.67
  4. Step 4: Simplify right side
    159,814.54x = 25,757,243,432.72
  5. Step 5: Solve for x
    x = 25,757,243,432.72/159,814.54
  6. Step 6: Final answer
    x = 161,169.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.